3998960 has 80 divisors (see below), whose sum is σ = 10969536. Its totient is φ = 1327104.

The previous prime is 3998959. The next prime is 3998971. The reversal of 3998960 is 698993.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20624 + ... + 20816.

Almost surely, 2^3998960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484768).

3998960 is an abundant number, since it is smaller than the sum of its proper divisors (6970576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3998960 is a wasteful number, since it uses less digits than its factorization.

3998960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 3998960 is about 1999.7399830978. The cubic root of 3998960 is about 158.7263465285.

The spelling of 3998960 in words is "three million, nine hundred ninety-eight thousand, nine hundred sixty".